Systems of Logic

by Norman M. Martin

Overview

This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.

Product Details

ISBN-13:	9780521367707
Publisher:	Cambridge University Press
Publication date:	07/28/1989
Pages:	336
Product dimensions:	5.98(w) x 8.98(h) x 0.63(d)

Table of Contents

Preface; 1. Formal systems and structure theory; 2. Zero-order logic: proof theory; 3. Zero-order model theory; 4. Positive implication; 5. Negation; 6. Complete implication-negation logic; 7. Disjunction; 8. Conjunction; 9. Multi-connective systems; 10. Strict implications: introduction; 11. Strict implications: addition results; 12. Quantification and first-order logic; 13. Quantification and complete logics; 14. Quantification and incomplete logics; 15. Interpretation of formal systems; Appendix: historical and bibliographical remarks; Subject index; Index of systems; Index of symbols.